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21433131412 = 227111719215443
BaseRepresentation
bin10011111101100000…
…111010000110010100
32001022201012212221221
4103331200322012110
5322343340201122
613502442220124
71356063416410
oct237540720624
961281185857
1021433131412
1190a9497950
1241a1ab4644
1320375867a4
14107477dd40
158569a76c7
hex4fd83a194

21433131412 has 96 divisors (see below), whose sum is σ = 52120212480. Its totient is φ = 7445675520.

The previous prime is 21433131359. The next prime is 21433131427. The reversal of 21433131412 is 21413133412.

It is a super-2 number, since 2×214331314122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8238 + ... + 207205.

It is an arithmetic number, because the mean of its divisors is an integer number (542918880).

Almost surely, 221433131412 is an apocalyptic number.

21433131412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21433131412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26060106240).

21433131412 is an abundant number, since it is smaller than the sum of its proper divisors (30687081068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21433131412 is a wasteful number, since it uses less digits than its factorization.

21433131412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215501 (or 215499 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

Adding to 21433131412 its reverse (21413133412), we get a palindrome (42846264824).

The spelling of 21433131412 in words is "twenty-one billion, four hundred thirty-three million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 17 19 22 28 34 38 44 68 76 77 119 133 154 187 209 238 266 308 323 374 418 476 532 646 748 836 1292 1309 1463 2261 2618 2926 3553 4522 5236 5852 7106 9044 14212 24871 49742 99484 215443 430886 861772 1508101 2369873 3016202 3662531 4093417 4739746 6032404 7325062 8186834 9479492 14650124 16373668 16589111 25637717 28653919 33178222 40287841 45027587 51275434 57307838 66356444 69588089 80575682 90055174 102550868 114615676 139176178 161151364 180110348 278352356 282014887 315193109 487116623 564029774 630386218 765468979 974233246 1128059548 1260772436 1530937958 1948466492 3061875916 5358282853 10716565706 21433131412